Answer:
hey,its option a
Step-by-step explanation:
because angle F= angle M and angle G= angle L
and angle H= angle N
To know third angle in ∆HGF
,we know sum of all angles in a triangle is 180°
______________________________
let angle H be unknown value x
x+51+36=180
x=180-87 ---------------- 1
similarly in ∆MNL
let angle be y
51+36+y=180
y=180-87----------------2
_______________________________
From 1&2 we observe qngle x= angle y
by AAA SIMILARITY THEY ARE SIMILAR
Answer:
593.04 square inches leather is needed.
Step-by-step explanation:
Leather needed to sew a ball = Surface area of the ball
Surface area of the sphere = 4πr²
= 4π(6.55)²
= 539.13 inches²
Since 10% extra material is needed for the seams, amount of material required = 539.13 + (10% of 539.13)
= 593.043
= 593.04 square inches
593.04 square inches of leather will be needed.
Answer:
x=3
Explanation:
Let's write an equation for the area of this figure.
This figure can be divided into 2 rectangles, a vertical and horizontal rectangle.
Area of rectangle= length× breadth
Area of vertical rectangle= 6x
Length of horizontal rectangle= (7 -x) cm
Area of horizontal rectangle= x(7-x)
Since total area= 30 cm^2,
6x+ x(7-x)= 30
6x +7x -x^2= 30 (expand)
-x^2 +13x-30= 0 (bring all terms to one side)
x^2 -13x +30= 0 (divide by -1)
(x -10)(x -3)= 0 (factorise)
x -10= 0 or x -3= 0
x= 10 or x= 3
(reject)
We reject x=10 since from the diagram, x cm is less than 6cm.
Answer:
95% of 40 is 38. 2 questions are wrong.
Step-by-step explanation:
Answer:
E. 38
Step-by-step explanation:
f(-5) means to plug in -5 for x in the given equation
